10-26 Exercise 3: Find roots of a quadratic equation

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Write a program to find roots of a quadratic equation

A quadratic equation is a second order equation having a single variable. Any quadratic equation can be represented as where a, b and c are constants ( a can't be 0) and x is unknown variable. 

寫一個找二次方程的求根程式

For Example

 is a quadratic equation where a, b and c are 2, 5 and 3 respectively.

To calculate the roots of quadratic equation we can use below formula. There are two solutions of a quadratic equation.

使用下列公式:

x = (-b + sqrt(D))/(2*a)
x = (-b - sqrt(D))/(2*a)

where, D = (b*b-4*a*c) is Discriminant (判別式), which differentiate the nature of the roots of quadratic equation.

For the complex result (複數根):

realPart = -b/(2*a);
imaginaryPart =sqrt(-D)/(2*a);

Note: We have used sqrt() function to find square root which is in math.h library.

 

Example input 1:

1 2 1

Example output 1:

Roots of 1.00x^2 + 2.00x + 1.00 = 0 are real and same
x1 = x2 = -1.00

 

Example input 2:

1 -3 2

Example output 2:

Roots of 1.00x^2 + -3.00x + 2.00 = 0 are real and different
x1 = 2.00
x2 = 1.00

 

Example input 3:

1 2 2

Example output 3:

Roots of 1.00x^2 + 2.00x + 2.00 = 0 are complex and different
x1 = -1.00+1.00i
x2 = -1.00-1.00i
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Everything is fixed. Enjoy your time with The Judge :)
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ANNNNNNNNNNNNNNNNNNNNNNNNNNGRYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
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Your code has newline at the end sometime. You learned this lesson many times!
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After i correct the newline in my code,there is still wrong output.However,I had run the program in Codeblocks.The output is still as well as the result. Seeking for help.
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your output lack of 1 space at line 8 when print out "Roots of ...". Please be careful with all small details when working with online judge
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#include <stdio.h>
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#include <stdio.h>
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prog.c: In function 'main':
prog.c:12:14: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
     x1=(-b + sqrt(D))/(2*a);
              ^~~~
prog.c:12:14: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:12:14: note: include '<math.h>' or provide a declaration of 'sqrt'
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prog.c: In function 'main':
prog.c:6:5: warning: implicit declaration of function 'scanf' [-Wimplicit-function-declaration]
     scanf("%f%f%f",&a,&b,&c);
     ^~~~~
prog.c:6:5: warning: incompatible implicit declaration of built-in function 'scanf'
prog.c:6:5: note: include '<stdio.h>' or provide a declaration of 'scanf'
prog.c:12:9: warning: implicit declaration of function 'printf' [-Wimplicit-function-declaration]
         printf("Roots of %.2fx^2 + %.2fx + %.2f = 0 are real and same\n",a,b,c);
         ^~~~~~
prog.c:12:9: warning: incompatible implicit declaration of built-in function 'printf'
prog.c:12:9: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:17:9: warning: incompatible implicit declaration of built-in function 'printf'
         printf("Roots of %.2fx^2 + %.2fx + %.2f = 0 are complex and different\n",a,b,c);
         ^~~~~~
prog.c:17:9: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:23:9: warning: incompatible implicit declaration of built-in function 'printf'
         printf("Roots of %.2fx^2 + %.2fx + %.2f = 0 are complex and different\n",a,b,c);
         ^~~~~~
prog.c:23:9: note: include '<stdio.h>' or provide a declaration of 'printf'
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prog.c: In function 'main':
prog.c:8:12: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
     x1=(-b+sqrt(D))/(2*a);
            ^~~~
prog.c:8:12: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:8:12: note: include '<math.h>' or provide a declaration of 'sqrt'
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#include <stdio.h>
#include <stdlib.h>
#include <math.h>
int main()
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#include <stdio.h>
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int main(void)
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prog.c: In function 'main':
prog.c:10:16: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
         x1=(-b+sqrt(D))/(2*a);
                ^~~~
prog.c:10:16: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:10:16: note: include '<math.h>' or provide a declaration of 'sqrt'
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Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
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Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output
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Case 0: Correct output
Case 1: Correct output
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prog.c: In function 'main':
prog.c:21:5: error: expected ';' before '{' token
     {
     ^
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Hidden content!
#include *  ** * * * * 
#include  *** ****        

int main()
{
**        ** *    * *** ** a, b, c, ** *  *  * x1,x2, realPart,  * * *  * *


   **   ***  ** * * * ** ** ***  *  ** *      %lf  *      *  ***   &b, &c);


 *  *   ** ** ***   * *   ***  *   ** *** = b*b-4*a*c;

 **** *  * **   * * * **  *   condition for real and different roots


   *   * *  *   *   ** ** * * ** * for real and equal roots
 **     *  *   * * ***** *     * ** * (determinant == 0)
*  ***   * *****  **   * 
         *****    *  * ***     **  *  *    *   * * = x2 = -b/(2*a);
   *  * ****  *   **  *     ******* * * * * ***   ***  ** *  ***   * *  ** of %.2fx^2 + %.2fx + %.2f = 0 are real and * **  **** a,b,c);
****  ***** ***** *  *  **** * * * *****  *** * * ***** ******    * = x2 =  * **    x1);
 ******  **    ** ***** *  

 **   ****  * * * * **  ***  *   if (determinant > 0)
*   *  *  *  * *     *   **** 
 *   *  * * * **  * ** **   * sqrt() function returns square root
*   * *  * **    * * **   **** *  * *  *** * ** * ***  =      * ** * ***   *  
 ** ** * **  *  * * *** **    * ** *  **   * **** =  * * *** *  ****  ** 

  *  **  * **    *  ***  **** ***  *  *** * ***  *   ***   * ****** **  of %.2fx^2 + %.2fx + %.2f = 0 are real and  ** *** *  * ****** *
* **** ** *   ** **      * ***   ****** *    *    * * ** *   * ***    = **  * *  *   x1);
 ** **     ** ****     *    **  ***  *  ***  **  **  **    *   *  ** =    *   ** x2);
  **   *** *     *   *  * **  *   if roots are not real
 **  * ***   ** *    * *    ** 
** ** ** * ** * **  **** **
* *  *  * **  * **  ****    * **    *   * ***   ****  ****** = -b/(2*a);
**  **          * *  ** *  *        ****  ****   **  ** ** * ** *    = **  * ** * * 
*   * * ******  *  *    * ***  *** *   **  * * ******    **   * *   * of %.2fx^2 + %.2fx + %.2f = 0 are complex and  ********  a,b,c);
 ** *   ** * **** ** * **   **  *********   *  * * *  ***       ** ** =   ** *    ***   * realPart,   * * *  * * 
    * ***** ***   * * * **  *** **  ***  ***  *  *  *      ****   =  ** ***  ** * realPart, ***** **   
  * * * *** *   ****   

**   *** ***  ***** *  ****      0;
}
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